Chaos Control in a Non-Isothermal Autocatalytic Chemical Reactor

Document Type: Research Article

Authors

1 Department of Chemical and Petroleum Engineering, Sharif University of Technology, P.O. Box 11365-9465 Tehran, I.R. IRAN

2 Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567 Tehran, I.R. IRAN

Abstract

In this paper, a reaction system consisting of two parallel, non-isothermal autocatalytic reactions in a Continuous Stirred Tank Reactor (CSTR) has been considered. Reactor chaotic behavior is possible for certain values of system parameters. Two types of controllers are designed and compared in order to control both the reactor temperature and the product concentration. The first controller is a linear state feedback type, designed based on the linearized model of the process and the second one is designed based on the Global Linearizing Control (GLC) strategy.Since the system states are not measured completely, a nonlinear observer has been used to estimate the system states. Finally, computer simulation is performed to show the effectiveness of the proposed schemes. Simulation results indicate that the GLC-based control scheme is more effective for set point tracking while the control scheme obtained using the linearized model of the process is more efficient for load rejection purposes.

Keywords


[1] Davarnejad R., Kassim K.M., Zainal A., Sata S.A, Solubility of β-Carotene from Crude Palm Oil in High Temperature and High Pressure Carbon Dioxide, Journal of Chemical & Engineering Data, 54(8): 2200-2207 (2009).

[2] Birtigh A.,  Johannsen M., Brunner G.,  Nair N., Supercritical Fluid Extraction of Oil Palm Components, Journal of Supercritical Fluids., 8(1): 46-50 (1995).

[3] Sambanthamurthi R., Sundram K., Tan Y.A., Chemistry and Biochemistry of Palm Oil, Progress in Lipid Research., 39(6):507-558 (2000).

[4] Davarnejad R., Kassim K.M., Zainal A., Sata S.A., Supercritical Fluid Extraction of β-Carotene from Crude Palm Oil Using CO2, Journal of Food Engineering, 89(4):472-478 (2008).

[5] Subra P., Castellani S., Ksibi H., Garrabos Y., Contribution to the Determination of the Solubility of β-carotene in Supercritical Carbon Dioxide and Nitrous Oxide: Experimental Data and Modeling, Fluid Phase Equilibria, 131(1-2):269-286 (1997).

[6] Shi J.,  Kakuda Y., Zhou X., Mittal G., Pan Q., Correlation of Mass Transfer Coefficient in the Extraction of Plant Oil in a Fixed Bed for Supercritical CO2, Journal of Food Engineering, 78(1): 33-40 (2007).

[7] de França L.F., Reber G., Meireles M.A.A., Machado N.T., Brunner G., Supercritical Extraction of Carotenoids and Lipids from Buriti (Mauritia flexuosa), a Fruit from the Amazon Region, Journal of Supercritical Fluids, 14(3): 247-256 (1999).

[8] King M.B., Kassim K.M., Bott T.R., Mass Transfer into Near-Critical Extractants, Fluid Phase Equilibria, 10(2-3): 249-260 (1983).

[9] Ghoreishi S.M., Akgerman A., Dispersion Coefficients of Supercritical Fluid in Fixed Beds, Separation and Purification Technology, 39(1-2): 39-50 (2004).   

[10] King, M.B., Bott T.R., “Extraction of Natural Products Using Near-Critical Solvents”, Glasgow Publisher, New York (1993).

[11] Catchpole O.J., Tallon S.J., Eltringham W.E., Grey J.B., Fenton K.A., Vagi E.M., Vyssotski M.V., MacKenzie A.N., Ryan J., Zhu Y., The Extraction and Fractionation of Specialty Lipids Using Near Critical Fluids, Journal of Supercritical Fluids, 47(3): 591-597 (2009).

[12] Lee H., Thodos G., Generalized Treatment of Self-Diffusivity for the Gaseous and Liquid States of Fluids, Industrial & Engineering Chemistry Fundamentals, 22(1): 17-26 (1983).

[13] Fuller E.N., Schettler P.D., Giddings J.C., New Method for Prediction of Binary Gas-Phase Diffusion Coefficients, Industrial & Engineering Chemistry, 58(5): 18-27 (1966).

[14] Reid R.C., Prausnitz J.M., Poling B.E., “The Properties of Gases and Liquids”, 4th edition, McGraw-Hill, New York (1987).

[15] Steiner E.H., “Statistical Methods in Quality Control, in: Herschdoerfer “, S.M. (Ed.), Quality Control in the Food Industry. Academic Press, London (1984).